Recent content by whyohwhy

Ah! This makes sense! But isn't mentioned in the textbook up to this point. Or at least not explicitly.

So this sounds like it could be right to me. But I don't get the distinction between elements belonging to Hilbert space and vectors in the ordinary sense. Looks like I have some more reading to do! Thanks so much

Yes but a vector cannot be right? This is a vector times a identity operator?

So it sounds like what we are saying is that the following sentence is incorrect or at the very least misleading? "dx' is understood to be the number dx' multiplied by the identity operator in the ket space spanned by lx'>" either this or I am incorrect in viewing the identity operator in...

Ah, hang on, may have worked out my confusion When it says "dx' is understood to be the number dx' multiplied by the identity operator in the ket space spanned by lx'>" Doesn't this mean that is is an operator which can be written as a 3x3 matrix of the form: (dx,0,0) (0,dx,0) (0,0,dx) which...

I suspect I am being dumb here, but I can't work out how this squares with the line "dx' is understood to be the number dx' multiplied by the identity operator in the ket space spanned by lx'>" the |x'> ket is earlier defined as follows Surely this means that the dx' is present in y...